Fractal Geometry and Dynamical Systems
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Geometry".
Deadline for manuscript submissions: closed (31 December 2024) | Viewed by 4571
Special Issue Editors
Interests: quantization; theory and applications; fractal geometry; dynamical systems
Special Issue Information
Dear Colleagues，
Fractal geometry has recently expanded into a vast field that encompasses practically all fields of science and engineering. It is the study of the properties of fractal objects, which are commonly referred to as fractals. The notion of fractal geometry naturally arises in the study of non-linear functions. We know that irregular sets provide a much better representation of natural phenomena than classical geometry. Fractal geometry is a tool to understand the geometric properties of such irregular sets. The area of fractal geometry and dynamical systems is multidisciplinary in nature with a huge scope of future research and real-life applications in signal processing, image processing, computer-aided geometric design, bioscience, physics, etc.
For this Special Issue, we intend to collect research presenting recent advances in the field of fractal geometry and dynamical systems.
Prof. Dr. Mrinal Kanti Roychowdhury
Dr. Saurabh Verma
Guest Editors
Manuscript Submission Information
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Keywords
- iterated function systems
- julia and mandelbrot sets
- self-similar sets and measures
- self-affine and self-conformal sets/measures
- fractal interpolation functions
- quantization dimension
- box dimension, hausdorff dimension and Lq dimensions
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